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Simplifying x2 + -5x + 2kx + -1k + 45 = 0 Reorder the terms: 45 + -1k + 2kx + -5x + x2 = 0 Solving 45 + -1k + 2kx + -5x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -1k + 2kx + -5x + -45 + x2 = 0 + -45 Reorder the terms: 45 + -45 + -1k + 2kx + -5x + x2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1k + 2kx + -5x + x2 = 0 + -45 -1k + 2kx + -5x + x2 = 0 + -45 Combine like terms: 0 + -45 = -45 -1k + 2kx + -5x + x2 = -45 Add '5x' to each side of the equation. -1k + 2kx + -5x + 5x + x2 = -45 + 5x Combine like terms: -5x + 5x = 0 -1k + 2kx + 0 + x2 = -45 + 5x -1k + 2kx + x2 = -45 + 5x Add '-1x2' to each side of the equation. -1k + 2kx + x2 + -1x2 = -45 + 5x + -1x2 Combine like terms: x2 + -1x2 = 0 -1k + 2kx + 0 = -45 + 5x + -1x2 -1k + 2kx = -45 + 5x + -1x2 Reorder the terms: 45 + -1k + 2kx + -5x + x2 = -45 + 5x + -1x2 + 45 + -5x + x2 Reorder the terms: 45 + -1k + 2kx + -5x + x2 = -45 + 45 + 5x + -5x + -1x2 + x2 Combine like terms: -45 + 45 = 0 45 + -1k + 2kx + -5x + x2 = 0 + 5x + -5x + -1x2 + x2 45 + -1k + 2kx + -5x + x2 = 5x + -5x + -1x2 + x2 Combine like terms: 5x + -5x = 0 45 + -1k + 2kx + -5x + x2 = 0 + -1x2 + x2 45 + -1k + 2kx + -5x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 45 + -1k + 2kx + -5x + x2 = 0 The solution to this equation could not be determined.
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